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Finding the Fourth Proportional to 509,646.12, 760,169.10 and 442,558.68

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Solution

The fourth proportional to 509,646.12, 760,169.10 and 442,558.68 is: 660,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,646.12 : 760,169.10 = 442,558.68 : x
  2. Step 2: Convert to fraction form
    509,646.12/760,169.10 = 442,558.68/x
  3. Step 3: Cross multiply
    509,646.12x = 760,169.10 × 442,558.68
  4. Step 4: Simplify right side
    509,646.12x = 336,419,433,472.79
  5. Step 5: Solve for x
    x = 336,419,433,472.79/509,646.12
  6. Step 6: Final answer
    x = 660,103.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.